5970504960 has 432 divisors, whose sum is σ = 24106118400. Its totient is φ = 1363783680.

The previous prime is 5970504959. The next prime is 5970504977. The reversal of 5970504960 is 694050795.

It is a happy number.

5970504960 is a `hidden beast` number, since 59 + 7 + 0 + 504 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3950605 + ... + 3952115.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^5970504960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5970504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053059200).

5970504960 is an abundant number, since it is smaller than the sum of its proper divisors (18135613440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5970504960 is a wasteful number, since it uses less digits than its factorization.

5970504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5970504960 is about 77269.0427014597. The cubic root of 5970504960 is about 1814.1381423655.

The spelling of 5970504960 in words is "five billion, nine hundred seventy million, five hundred four thousand, nine hundred sixty".